Details

Time bar (total: 12.9s)

sample23.0ms

Algorithm
intervals
Results
10.0ms279×body80valid

simplify112.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
0911
12111
24010
36710
410210
513910
614410
done14410

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.8b

localize10.0ms

Local error

Found 2 expressions with local error:

2.6b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
4.1b
(* y (+ 1.0 (* z z)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
20×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
13×associate-/l*
6×cbrt-undiv div-exp
4×pow1 associate-*r/
3×associate-*r* associate-*l* prod-exp cbrt-unprod div-inv
2×expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num associate-/r* *-commutative associate-/l/ unswap-sqr
Counts
2 → 74
Calls
2 calls:
31.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
17.0ms
(* y (+ 1.0 (* z z)))

series143.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
74.0ms
(* y (+ 1.0 (* z z)))

simplify1.3s

Counts
80 → 80
Iterations

Useful iterations: 2 (392.0ms)

IterNodesCost
01601102
14461075
22244866
done5001866

prune343.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.6b

localize14.0ms

Local error

Found 2 expressions with local error:

2.4b
(/ (/ (cbrt 1.0) x) (fma z z 1.0))
3.2b
(* (/ (* (cbrt 1.0) (cbrt 1.0)) y) (/ (/ (cbrt 1.0) x) (fma z z 1.0)))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
275×times-frac
167×add-sqr-sqrt
141×add-cube-cbrt *-un-lft-identity
70×associate-*r*
65×cbrt-prod
43×add-exp-log
33×add-cbrt-cube
22×associate-/l*
18×cbrt-undiv div-exp
12×prod-exp cbrt-unprod
10×div-inv
8×unswap-sqr
7×associate-*l*
4×pow1
3×associate-/r*
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
2 → 225
Calls
2 calls:
16.0ms
(/ (/ (cbrt 1.0) x) (fma z z 1.0))
81.0ms
(* (/ (* (cbrt 1.0) (cbrt 1.0)) y) (/ (/ (cbrt 1.0) x) (fma z z 1.0)))

series324.0ms

Counts
2 → 6
Calls
2 calls:
150.0ms
(/ (/ (cbrt 1.0) x) (fma z z 1.0))
173.0ms
(* (/ (* (cbrt 1.0) (cbrt 1.0)) y) (/ (/ (cbrt 1.0) x) (fma z z 1.0)))

simplify763.0ms

Counts
231 → 231
Iterations

Useful iterations: done (752.0ms)

IterNodesCost
03694954
112424732
done50004416

prune989.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.6b

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ (cbrt 1.0) x) (sqrt (fma z z 1.0)))
1.1b
(* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) y) (sqrt (fma z z 1.0))) (/ (/ (cbrt 1.0) x) (sqrt (fma z z 1.0))))
15.1b
(sqrt (fma z z 1.0))
15.1b
(sqrt (fma z z 1.0))

rewrite355.0ms

Algorithm
rewrite-expression-head
Rules
650×times-frac
443×add-sqr-sqrt
293×add-cube-cbrt *-un-lft-identity
191×sqrt-prod
136×associate-*r*
127×cbrt-prod
63×add-exp-log
52×add-cbrt-cube
46×associate-*l*
35×unswap-sqr
30×cbrt-undiv div-exp
22×div-inv associate-/l*
15×prod-exp cbrt-unprod
8×pow1
6×associate-/r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
4 → 462
Calls
4 calls:
17.0ms
(/ (/ (cbrt 1.0) x) (sqrt (fma z z 1.0)))
270.0ms
(* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) y) (sqrt (fma z z 1.0))) (/ (/ (cbrt 1.0) x) (sqrt (fma z z 1.0))))
3.0ms
(sqrt (fma z z 1.0))
3.0ms
(sqrt (fma z z 1.0))

series531.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(/ (/ (cbrt 1.0) x) (sqrt (fma z z 1.0)))
214.0ms
(* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) y) (sqrt (fma z z 1.0))) (/ (/ (cbrt 1.0) x) (sqrt (fma z z 1.0))))
91.0ms
(sqrt (fma z z 1.0))
84.0ms
(sqrt (fma z z 1.0))

simplify1.3s

Counts
474 → 474
Iterations

Useful iterations: done (1.3s)

IterNodesCost
058212836
1196211917
done500111432

prune1.8s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 3.6b

localize46.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
2.5b
(* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) y) (sqrt (fma z z 1.0))) (* (/ (cbrt (cbrt 1.0)) (cbrt x)) (/ (cbrt (cbrt 1.0)) (cbrt x))))
15.1b
(sqrt (fma z z 1.0))
15.1b
(sqrt (fma z z 1.0))

rewrite144.0ms

Algorithm
rewrite-expression-head
Rules
106×add-exp-log
66×times-frac
64×add-cbrt-cube
46×associate-*l*
45×add-sqr-sqrt
41×cbrt-undiv div-exp prod-exp cbrt-unprod
34×add-cube-cbrt *-un-lft-identity
29×sqrt-prod
11×pow1
7×div-inv
5×frac-times associate-*r/ unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod pow-prod-down associate-*l/
2×rem-sqrt-square sqrt-pow1 pow1/2
1×pow1/3 associate-*r* *-commutative
Counts
4 → 154
Calls
4 calls:
1.0ms
(cbrt x)
129.0ms
(* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) y) (sqrt (fma z z 1.0))) (* (/ (cbrt (cbrt 1.0)) (cbrt x)) (/ (cbrt (cbrt 1.0)) (cbrt x))))
1.0ms
(sqrt (fma z z 1.0))
2.0ms
(sqrt (fma z z 1.0))

series1.0s

Counts
4 → 12
Calls
4 calls:
207.0ms
(cbrt x)
633.0ms
(* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) y) (sqrt (fma z z 1.0))) (* (/ (cbrt (cbrt 1.0)) (cbrt x)) (/ (cbrt (cbrt 1.0)) (cbrt x))))
86.0ms
(sqrt (fma z z 1.0))
86.0ms
(sqrt (fma z z 1.0))

simplify1.6s

Counts
166 → 166
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02894486
18984171
238023256
done50003151

prune779.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 3.6b

regimes155.0ms

Accuracy

0% (1.0b remaining)

Error of 6.0b against oracle of 5.0b and baseline of 6.0b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01324
11424
done1424

end0.0ms

sample1.0s

Algorithm
intervals
Results
532.0ms8626×body80valid